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Srinivasa Ramanujan, one of India’s greatest mathematical geniuses, was born on December 22, 1887 in Erode, Madras Presidency (now Pallipalayam, Erode, Tamil Nadu). He made significant contributions to mathematical analysis, number theory, infinite series and continued fractions. He received no formal education in mathematics but made important contributions to advancement of mathematics.
When Srinivasa Ramanujan’s skills became apparent to the wider mathematical community, centred in Europe at the time, he began a famous partnership with the English Mathematician GH Hardy. In addition to producing new theorems, he also rediscovered previously known theorems. Ramanujan died of tuberculosis at a young age on April 26, 1920.
Contributions of Ramanujan is widespread in fields of Algebra, Geometry, Trigonometry, Calculus, Number Theory and others. His diverse mathematical contributions have also been widely used in solving various problems in higher specialised scientific fields. Let’s find out the major contributions by Srinivasa Ramanujan.
1} Ramanujan Number: The number 1729 is known as ‘Ramanujan Number’. The natural number, 1729 is called Ramanujan number after a famous anecdote where GH Hardy had come to visit the Indian mathematician to the hospital in a taxi with the same number. This number is a smaller number which can be expressed as the sum of two cubes in different ways.
2} Srinivasan Ramanujan worked out the Riemann series, the elliptic integrals, hypergeometric series, functional equations of the zeta function and his own theory of divergent series.
3} The indian mathematician made further advances in England, especially in partition of numbers. His papers were published in English and European journals. in 1918, he was elected to the Royal Society of London.
4} Along with GH Hardy, Ramanujan studied the partition function P(n) extensively and gave a non-convergent asymptotic series that permits exact computation of the number of partitions of an integer. Their work led to the development of a new method for finding asymptotic formulae known as the circle method.
5} Srinivasa Ramanujan’s mathematical methods are used undersigning better furnaces for smelting metals and splicing telephone cables for communications.
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